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• Cantwell, C.D., Moxey, D., Comerford, A., Bolis, A., Rocco, G., Mengaldo, G., De Grazia, D., Yakovlev, S., Lombard, J.E., Ekelschot, D., Jordi, B., Xu, H., Mohamied, Y., Eskilsson, C., Nelson, B., Vos, P., Biotto, C., Kirby, R.M., Sherwin, S.J., Nektar++: An open-source spectral/hp element framework. Comput. Phys. Comm. 192 (2015), 205–219.
• Moxey, D., Cantwell, C.D., Bao, Y., Cassinelli, A., Castiglioni, G., Chun, S., Juda, E., Kazemi, E., Lackhove, K., Marcon, J., Mengaldo, G., Serson, D., Turner, M., Xu, H., Peiró, J., Kirby, R.M., Sherwin, S.J., Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods. Comput. Phys. Comm., 249, 2020, 107110.
• Karniadakis, G., Sherwin, S., Spectral/hp Element Methods for Computational Fluid Dynamics. second ed., 2013, Oxford Science Publications.
• Mengaldo, G., Discontinuous spectral/hp element methods: development, analysis and applications to compressible flows. (Ph.D. thesis), 2015, Imperial College London.
• Mengaldo, G., De Grazia, D., Vincent, P.E., Sherwin, S.J., On the connections between discontinuous Galerkin and flux reconstruction schemes: extension to curvilinear meshes. J. Sci. Comput. 67:3 (2016), 1272–1292.
• Hesthaven, J.S., Warburton, T., Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications. 2008, Springer-Verlag, New York.
• Hartmann, R., Houston, P., Symmetric interior penalty DG methods for the compressible Navier-Stokes equations I: method formulation. Int. J. Numer. Anal. Model. 3:1 (2005), 1–20.
• Vandenhoeck, R., Lani, A., Implicit high-order flux reconstruction solver for high-speed compressible flows. Comput. Phys. Comm. 242 (2019), 1–24.
• Capuano, F., Palumbo, A., de Luca, L., Comparative study of spectral-element and finite-volume solvers for direct numerical simulation of synthetic jets. Comput. & Fluids 179 (2019), 228–237.
• Peterson, J.W., Lindsay, A.D., Kong, F., Overview of the incompressible Navier–Stokes simulation capabilities in the MOOSE framework. Adv. Eng. Softw. 119 (2018), 68–92.
• Hartmann, R., Houston, P., An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier–Stokes equations. J. Comput. Phys. 227:22 (2008), 9670–9685.
• Hillewaert, K., Development of the discontinuous Galerkin method for high-resolution, large scale CFD and acoustics in industrial geometries. (Ph.D. thesis), 2013, Université Catholique de Louvain.
• Arnold, D., Brezzi, F., Cockburn, B., Marini, L., Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39:5 (2002), 1749–1779.
• P.-O. Persson, J. Peraire, Sub-cell shock capturing for discontinuous Galerkin methods, in: 44th AIAA Aerospace Sciences Meeting and Exhibit, AIAA 2006-112, Reno, Nevada, 2006.
• Ducros, F., Ferrand, V., Nicoud, F., Weber, C., Darracq, D., Gacherieu, C., Poinsot, T., Large-eddy simulation of the shock/turbulence interaction. J. Comput. Phys. 152:2 (1999), 517–549.
• Kennedy, C.A., Carpenter, M.H., Diagonally implicit Runge-Kutta methods for ordinary differential equations. A review., 2016, 162.
• Knoll, D.A., Keyes, D.E., Jacobian-free Newton-Krylov methods: A survey of approaches and applications. J. Comput. Phys. 193:2 (2004), 357–397.
• Saad, Y., Schultz, M.H., GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7:3 (1986), 856–869.
• Brune, P.R., Knepley, M.G., Smith, B.F., Tu, X., Composing scalable nonlinear algebraic solvers. SIAM Rev. 57:4 (2015), 535–565.
• Cantwell, C.D., Sherwin, S.J., Kirby, R.M., Kelly, P.H.J., From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements.Symposium on High Accuracy Flow Simulations. Special Issue Dedicated to Prof. Michel Deville. Comput. & Fluids, 43(1), 2011, 23–28.
• Orszag, S.A., Spectral methods for problems in complex geometries. J. Comput. Phys. 37:1 (1980), 70–92.
• Vanden, K.J., Orkwis, P.D., Comparison of numerical and analytical Jacobians. AIAA J. 34:6 (1996), 1125–1129.
• Ezertas, A., Eyi, S., Performances of numerical and analytical Jacobians in flow and sensitivity analysis. 19th AIAA Computational Fluid Dynamics, 2009, American Institute of Aeronautics and Astronautics, San Antonio, Texas.
• Xiaoquan, Y., Cheng, J., Luo, H., Zhao, Q., Robust implicit direct discontinuous Galerkin method for simulating the compressible turbulent flows. AIAA J. 57:3 (2019), 1113–1132.
• Franciolini, M., Crivellini, A., Nigro, A., On the efficiency of a matrix-free linearly implicit time integration strategy for high-order discontinuous Galerkin solutions of incompressible turbulent flows. Comput. & Fluids 159 (2017), 276–294.
• Vos, P.E.J., Eskilsson, C., Bolis, A., Chun, S., Robert, M., Sherwin, S.J., A generic framework for time-stepping partial differential equations (PDEs): General linear methods, object-oriented implementation and application to fluid problems. Int. J. Comput. Fluid Dyn. 25:3 (2011), 107–125.
• Cheng, J., Yang, X., Liu, X., Liu, T., Luo, H., A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids. J. Comput. Phys. 327 (2016), 484–502.
• Cockburn, B., Shu, C., The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal. 35:6 (1998), 2440–2463.
• Toro, E.F., Riemann Solvers and Numerical Methods for Fluid Dynamics. third ed., 2009, Springer.
• Bastian, P., Müller, E.H., Müthing, S., Piatkowski, M., Matrix-free multigrid block-preconditioners for higher order discontinuous Galerkin discretisations. J. Comput. Phys. 394 (2019), 417–439.
• Pazner, W., Persson, P.-O., Approximate tensor-product preconditioners for very high order discontinuous Galerkin methods. J. Comput. Phys. 354 (2018), 344–369.
• Diosady, L.T., Murman, S.M., Scalable tensor-product preconditioners for high-order finite-element methods: Scalar equations. J. Comput. Phys. 394 (2019), 759–776.
• Peraire, J., Persson, P., The compact discontinuous Galerkin (CDG) method for elliptic problems. SIAM J. Sci. Comput. 30:4 (2008), 1806–1824.
• Williams, S., Waterman, A., Patterson, D., Roofline: an insightful visual performance model for multicore architectures. Commun. ACM 52:4 (2009), 65–76.
• Roy, C.J., Review of code and solution verification procedures for computational simulation. J. Comput. Phys. 205:1 (2005), 131–156.
• Oliver, T.A., Multigrid solution for high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations. (Ph.D. thesis), 2004, Massachusetts Institute of Technology.
• Bijl, H., Carpenter, M.H., Vatsa, V.N., Kennedy, C.A., Implicit time integration schemes for the unsteady compressible Navier–Stokes equations: laminar flow. J. Comput. Phys. 179:1 (2002), 313–329.
• Wiart, C.C.d., Hillewaert, K., Duponcheel, M., Winckelmans, G., Assessment of a discontinuous Galerkin method for the simulation of vortical flows at high Reynolds number. Internat. J. Numer. Methods Fluids 74:7 (2014), 469–493.
• Winters, A.R., Moura, R.C., Mengaldo, G., Gassner, G.J., Walch, S., Peiró, J., Sherwin, S.J., A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations. J. Comput. Phys. 372 (2018), 1–21.
• Parnaudeau, P., Carlier, J., Heitz, D., Lamballais, E., Experimental and numerical studies of the flow over a circular cylinder at reynolds number 3900. Phys. Fluids, 20(8), 2008, 085101.
• Kravchenko, A.G., Moin, P., Numerical studies of flow over a circular cylinder at ReD=3900. Phys. Fluids 12:2 (2000), 403–417.
• Toulorge, T., Desmet, W., Optimal Runge-Kutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems. J. Comput. Phys. 231:4 (2012), 2067–2091.
• Boin, J.P., Robinet, J.C., Corre, C., Deniau, H., 3d steady and unsteady bifurcations in a shock-wave/laminar boundary layer interaction: A numerical study. Theor. Comput. Fluid Dyn. 20:3 (2006), 163–180.
• White, F.M., Viscous Fluid Flow. second ed., 1991, McGraw-Hill, New York.
• Eckert, E., Engineering relations for friction and heat transfer to surfaces in high velocity flow. J. Aeronaut. Sci. 22:8 (1955), 585–587.